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Finding the Third Proportional to 100,212 and 217,524

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Solution

The third proportional to 100,212 and 217,524 is: 472,165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,212 : 217,524 = 217,524 : x
  2. Step 2: Convert to fraction form
    100,212/217,524 = 217,524/x
  3. Step 3: Cross multiply
    100,212x = 217,524 × 217,524
  4. Step 4: Simplify right side
    100,212x = 47,316,690,576
  5. Step 5: Solve for x
    x = 47,316,690,576/100,212
  6. Step 6: Final answer
    x = 472,165.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.